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arXiv · 2012.13058

Compactness and fractal dimensions of inhomogeneous continuum random trees

Arthur Blanc-Renaudie
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Abstract

We introduce a new stick-breaking construction for inhomogeneous continuum random trees (ICRT). This new construction allows us to prove the necessary and sufficient condition for compactness conjectured by Aldous, Miermont and Pitman arXiv:math/0401115 by comparison with L\'evy trees. We also compute the fractal dimensions (Minkowski, Packing, Hausdorff).

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Arthur Blanc-Renaudie. 2020-12-24. Compactness and fractal dimensions of inhomogeneous continuum random trees. https://arxiv.org/abs/2012.13058

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